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माना कि सभी x gt 0 के लिए f(x) = lim(n ...

माना कि सभी `x gt 0` के लिए `f(x) = lim_(n rarr oo) ((n^(n) (x+ n) (x+ (n)/(2))....(x+ (n)/(n)))/(n! (x^(2) + n^(2)) (x^(2) + (n^(2))/(4))....(x^(2) + (n^(2))/(n^(2)))))^((x)/(n))` है। तब

A

`f((1)/(2)) ge f(1)`

B

`f((1)/(3)) le f((2)/(3))`

C

`f'(2) le 0`

D

`(f'(3))/(f(3)) ge (f'(2))/(f(2))`

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